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- W3154473038 abstract "<p style='text-indent:20px;'>In this paper, we obtain new Carleman estimates for a class of variable coefficient degenerate elliptic operators whose constant coefficient model at one point is the so called Baouendi-Grushin operator. This generalizes the results obtained by the two of us with Garofalo in [<xref ref-type=bibr rid=b10>10</xref>] where similar estimates were established for the constant coefficient Baouendi-Grushin operator. Consequently, we obtain: (ⅰ) a Bourgain-Kenig type quantitative uniqueness result in the variable coefficient setting; (ⅱ) and a strong unique continuation property for a class of degenerate sublinear equations. We also derive a subelliptic version of a scaling critical Carleman estimate proven by Regbaoui in the Euclidean setting using which we deduce a new unique continuation result in the case of scaling critical Hardy type potentials.</p>" @default.
- W3154473038 created "2021-04-26" @default.
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- W3154473038 date "2021-01-01" @default.
- W3154473038 modified "2023-10-18" @default.
- W3154473038 title "Carleman estimates for a class of variable coefficient degenerate elliptic operators with applications to unique continuation" @default.
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- W3154473038 doi "https://doi.org/10.3934/dcds.2021070" @default.
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